This is an announcement for the paper "A sharp isoperimetric bound for convex bodies" by Ravi Montenegro.
Abstract: We consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound is given in terms of diameter and set size, which is sharp for all set sizes, dimensions, and norms. In the case of uniform density a stronger theorem is shown which is also sharp.
Archive classification: Functional Analysis; Metric Geometry; Probability
Mathematics Subject Classification: 52A40
The source file(s), iso.bbl: 1295 bytes, iso.tex: 41335 bytes, is(are) stored in gzipped form as 0411018.tar.gz with size 14kb. The corresponding postcript file has gzipped size 52kb.
Submitted from: monteneg@yahoo.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0411018
or
http://arXiv.org/abs/math.FA/0411018
or by email in unzipped form by transmitting an empty message with subject line
uget 0411018
or in gzipped form by using subject line
get 0411018
to: math@arXiv.org.